{"id":"W4409284473","doi":"10.3390/mca30020040","title":"Fractional Diffusion: A Structured Approach to Application with Examples","year":2025,"lang":"en","type":"article","venue":"Mathematical and Computational Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Deutsche Forschungsgemeinschaft; Technische Universität Chemnitz","keywords":"Diffusion; Statistical physics; Applied mathematics; Computer science; Mathematics; Calculus (dental); Medicine; Physics; Thermodynamics; Dentistry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001314871,0.0009373981,0.0007331374,0.002222812,0.001143227,0.002703871,0.001726906,0.00157507,0.01137947],"category_scores_gemma":[0.007167079,0.0003680089,0.001115859,0.002108373,0.00192774,0.003246051,0.003174217,0.002462656,0.002314577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000931809,"about_ca_system_score_gemma":0.000524968,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009144342,"about_ca_topic_score_gemma":0.001038206,"domain_scores_codex":[0.9992201,0.0003510187,0.00007183664,0.00009867972,0.0002222705,0.0000361114],"domain_scores_gemma":[0.9982226,0.001210216,0.00009384661,0.0001953534,0.0002017615,0.00007603787],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002046382,0.00005530782,0.0002094717,0.0002059907,0.000011174,0.0003901964,0.0005594022,0.01508379,0.001007249,0.9322268,0.007661551,0.04256861],"study_design_scores_gemma":[0.000009500129,0.0000226231,0.00008872105,0.0001417868,0.000006826567,0.000258165,0.0001324647,0.06762058,0.0004692135,0.8636593,0.06757462,0.00001606448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.006086957,0.003967734,0.9267997,0.002883175,0.0003362183,0.0001133718,0.0001929258,0.0003937412,0.05922622],"genre_scores_gemma":[0.1226335,0.006507759,0.8464431,0.0006146281,0.0007253843,0.0004320588,0.0003856512,0.0002631305,0.02199481],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01137947,"threshold_uncertainty_score":0.03806818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02688953521418878,"score_gpt":0.2987661351324946,"score_spread":0.2718765999183058,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}